Finding the Third Proportional to 182,355 and 390,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,355 : 390,223.50 = 390,223.50 : x
2. Step 2: Convert to fraction form
   182,355/390,223.50 = 390,223.50/x
3. Step 3: Cross multiply
   182,355x = 390,223.50 × 390,223.50
4. Step 4: Simplify right side
   182,355x = 152,274,379,952.25
5. Step 5: Solve for x
   x = 152,274,379,952.25/182,355
6. Step 6: Final answer
   x = 835,043.62